Create a mesh that represents the volume that is shared between two or more intersecting meshes. The first set of meshes may be pre-selected. Each of the original meshes will be deleted after the Intersect function is completed. Only their one shared volume mesh will remain. A Mesh Revolve that is open-ended (not a full 360 degrees) cannot be used in this Intersect function.
Meshes Must be Closed: If any selected mesh does not form closed volume (i.e., there are any open edges) the Mesh Boolean operations (i.e., Unite, Subtract or Intersect) will fail. This can sometimes occur with imported data files. If this occurs, use the Auto Fix command on each mesh before using the Unit, Subtract or Intersect Mesh commands. You can also use the Diagnose command to check for mesh errors.
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Screen Pick
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Command Input
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Step 1
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Select the first set of mesh objects to intersect. Right-click or press <Enter> when done.

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none
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Step 2
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Select the second set of mesh objects. Right-click or press <Enter> when done.

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Final
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The resulting mesh represents their shared volume.

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Before the second mesh set is selected: 
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